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Finding the Fourth Proportional to 13,635.84, 18,817.92 and 8,046.72

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Solution

The fourth proportional to 13,635.84, 18,817.92 and 8,046.72 is: 11,104.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,635.84 : 18,817.92 = 8,046.72 : x
  2. Step 2: Convert to fraction form
    13,635.84/18,817.92 = 8,046.72/x
  3. Step 3: Cross multiply
    13,635.84x = 18,817.92 × 8,046.72
  4. Step 4: Simplify right side
    13,635.84x = 151,422,533.22
  5. Step 5: Solve for x
    x = 151,422,533.22/13,635.84
  6. Step 6: Final answer
    x = 11,104.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.